To calculate the total hours worked, we follow these steps:

1. Start time: 22:00 (10:00 PM)
2. End time: 06:00 (6:00 AM)
3. Total time without break: From 22:00 to 06:00 is 8 hours.
4. Break duration: 45 minutes, which is $\frac{45}{60} = 0.75$ hours.

Now, subtract the break from the total time:

$\text{Total time worked} = 8 \, \text{hours} - 0.75 \, \text{hours} = 7.25 \, \text{hours}$

Therefore, you work 7.25 hours.

Would you like more details, or do you have any questions?

Here are some related questions:

1. How do you convert minutes into hours?
2. How would the calculation change if the break was 1 hour instead?
3. What if you finished at 07:00 instead of 06:00?
4. How would you calculate hours worked over multiple days?
5. What if your shift started at 21:00 instead of 22:00?

Tip: To convert minutes into hours, divide the number of minutes by 60.